Question:

For a linear plot of \(\log(x/m)\) versus \(\log p\) in a Freundlich adsorption isotherm, which of the following statements is correct ? (k and n are constants)

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Take logarithms of the Freundlich equation \(x/m = kp^{1/n}\) and compare with \(y = mx + c\).
Updated On: Nov 11, 2026
  • Both k and 1/n appear in the slope term.
  • 1/n appears as the intercept.
  • Only 1/n appears as the slope
  • \(\log(1/n)\) appears as the intercept.
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The Correct Option is C

Solution and Explanation

Freundlich isotherm: \(\dfrac{x}{m} = k\,p^{1/n}\).
Taking logs: \(\log\dfrac{x}{m} = \log k + \dfrac{1}{n}\log p\).
This is a straight line with \(y = \log(x/m)\) and \(X = \log p\).
Slope = \(1/n\) only; intercept = \(\log k\).
Hence only 1/n appears as the slope.
Answer: (3) Only 1/n appears as the slope
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